GCD of 338, 504, 180, 506 Calculator

Given Input numbers are 338, 504, 180, 506

In the factoring method, we have to find the divisors of all numbers

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

GCD of numbers is the greatest common divisor

So, the GCD (338, 504, 180, 506) = 2.

Given numbers are 338, 504, 180, 506

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 506 are 2 x 11 x 23

The highest common occurrence is 2¹

Therefore, GCD of 338, 504, 180, 506 is 2.

Given numbers are 338, 504, 180, 506

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(338, 504) = 85176

GCD(338, 504) = ( 338 x 504 ) / 85176

= 338 / 504

= 338

Step2:

LCM(2, 180) = 180

GCD(2, 180) = ( 2 x 180 ) / 180

= 2 / 180

= 2

Step3:

LCM(2, 506) = 506

GCD(2, 506) = ( 2 x 506 ) / 506

= 2 / 506

= 2

So, Greatest Common Divisor of 338, 504, 180, 506 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 736, 392, 992, 762
• GCD of 259, 756, 824, 381
• GCD of 346, 132, 842, 740
• GCD of 890, 827, 646, 593
• GCD of 536, 533, 569, 215

Given numbers are 338, 504, 180, 506
The greatest common divisor of numbers 338, 504, 180, 506 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 504, 180, 506 is 2.

1. What is the GCD of 338, 504, 180, 506?

GCD of given numbers 338, 504, 180, 506 is 2

2. How to calculate the greatest common divisor of 338, 504, 180, 506?

We can find the highest common divisor of 338, 504, 180, 506 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 338, 504, 180, 506 i.e 2.

3. How can I use the GCD of 338, 504, 180, 506Calculator?

Out the numbers 338, 504, 180, 506 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.